1971763456 has 72 divisors (see below), whose sum is σ = 4461806720. Its totient is φ = 862119936.

The previous prime is 1971763427. The next prime is 1971763459. The reversal of 1971763456 is 6543671791.

It is a super-2 number, since 2×1971763456² = 7775702252834127872, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1971763459) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47641 + ... + 78823.

Almost surely, 2^1971763456 is an apocalyptic number.

1971763456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1971763456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2230903360).

1971763456 is an abundant number, since it is smaller than the sum of its proper divisors (2490043264).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1971763456 is a wasteful number, since it uses less digits than its factorization.

1971763456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31231 (or 31217 counting only the distinct ones).

The product of its digits is 952560, while the sum is 49.

The square root of 1971763456 is about 44404.5431909844. The cubic root of 1971763456 is about 1253.9636224203.

The spelling of 1971763456 in words is "one billion, nine hundred seventy-one million, seven hundred sixty-three thousand, four hundred fifty-six".